Question

Which expression is equivalent to log18 – log(p + 2)?

Answer 1

Answer:

log[18/(p + 2)].

Step-by-step explanation:

In logarithm if the expression is in the form of log(a/b), then we can write the expression in the form like

log(a/b) = loga - logb

Now in our question the given expression is log18 - log(p+2)

So we can write this expression as

log18 - log(p+2) = log (18/p + 2)

So the answer is log [18/(p + 2)]

Answer 2

Logarithms help us to find the power a number must be raised to get the desired number. The expression can be written as $log(\dfrac{18}{p+2})$.

What are the Properties of logarithms?

There are four basic properties of logarithms:

$\rm log_aU+ log_aV = log_a(UV)\\\\\rm log_aU - log_aV = log_a(\dfrac{U}{V})\\\\\rm log_aU^n = n\ log_aU\\\\\rm log_ab = \dfrac{log_xb}{log_xa}$

Given to us

log18 – log(p + 2)

As we know the properties of the logarithm, therefore, we can write the given expression as,

$\rm log\ 18 - log(p + 2)\\\\= log(\dfrac{18}{p+2})$

Hence, the expression can be written as $log(\dfrac{18}{p+2})$.

Learn more about Logarithms:

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